Details

analyze781.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
15.6%	84.2%	0.2%	8
15.6%	84.2%	0.2%	9
20.3%	79.5%	0.2%	10
25.3%	74.5%	0.2%	11
34.2%	65.6%	0.2%	12
37.4%	62%	0.6%	13
41.7%	57.7%	0.6%	14

sample33.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
4.0ms	97×	body	80	invalid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	54	15
1	54	15

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 3.2b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (- (/ t (* y (* z 3.0))) (/ y (* z 3.0))))
0.2b	(* y (* z 3.0))
0.2b	(/ y (* z 3.0))
5.0b	(/ t (* y (* z 3.0)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
14×	`*-un-lft-identity`
9×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
7×	`prod-exp` `cbrt-unprod`
6×	`times-frac` `associate-/l*`
5×	`cbrt-undiv` `div-exp`
3×	`associate-l` `pow-prod-down`
2×	`frac-2neg` `clear-num` `associate-/r*` `sum-log` `div-inv` `distribute-lft-out`
1×	`+-commutative` `associate-+r-` `sub-neg` `associate-+r+` `flip3-+` `diff-log` `associate-r` `*-commutative` `flip-+` `distribute-lft-out--`

Counts

4 → 78

Calls

4 calls:

12.0ms	(+ x (- (/ t (* y (* z 3.0))) (/ y (* z 3.0))))
5.0ms	(* y (* z 3.0))
4.0ms	(/ y (* z 3.0))
6.0ms	(/ t (* y (* z 3.0)))

series33.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ x (- (/ t (* y (* z 3.0))) (/ y (* z 3.0))))
3.0ms	(* y (* z 3.0))
3.0ms	(/ y (* z 3.0))
6.0ms	(/ t (* y (* z 3.0)))

simplify41.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5095	823

prune128.0ms

Filtered

60 candidates to 90 candidates (-50.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	82	8	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	8	91

Merged error: 0b

Counts

91 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (- (* (/ 1 y) (/ t (* z 3.0))) (/ y (* z 3.0))))
0.2b	(/ t (* z 3.0))
0.2b	(/ y (* z 3.0))
4.6b	(* (/ 1 y) (/ t (* z 3.0)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-exp-log`
35×	`add-cbrt-cube`
24×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `times-frac`
18×	`div-exp` `prod-exp`
17×	`add-cube-cbrt`
13×	`associate-l`
11×	`cbrt-undiv`
10×	`cbrt-unprod`
9×	`add-log-exp`
7×	`associate-r`
6×	`pow1` `associate-/l*`
4×	`div-inv`
3×	`rec-exp` `1-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num` `associate-/r*` `sum-log`
1×	`+-commutative` `frac-times` `associate-+r-` `sub-neg` `associate-+r+` `flip3-+` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip-+` `distribute-lft-out`

Counts

4 → 110

Calls

4 calls:

10.0ms	(+ x (- (* (/ 1 y) (/ t (* z 3.0))) (/ y (* z 3.0))))
4.0ms	(/ t (* z 3.0))
4.0ms	(/ y (* z 3.0))
10.0ms	(* (/ 1 y) (/ t (* z 3.0)))

series29.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+ x (- (* (/ 1 y) (/ t (* z 3.0))) (/ y (* z 3.0))))
3.0ms	(/ t (* z 3.0))
3.0ms	(/ y (* z 3.0))
6.0ms	(* (/ 1 y) (/ t (* z 3.0)))

simplify55.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5162	1099

prune137.0ms

Filtered

80 candidates to 122 candidates (-52.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	123	7	130

Merged error: 0b

Counts

130 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (- (/ (/ t (* z 3.0)) y) (/ y (* z 3.0))))
0.2b	(/ t (* z 3.0))
0.2b	(/ y (* z 3.0))
4.5b	(/ (/ t (* z 3.0)) y)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

39×	`times-frac`
29×	`*-un-lft-identity`
24×	`add-sqr-sqrt` `add-cube-cbrt`
23×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/l*`
9×	`cbrt-undiv` `div-exp` `add-log-exp`
7×	`div-inv`
5×	`associate-/r*`
4×	`pow1`
3×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod`
2×	`sum-log` `distribute-lft-out`
1×	`+-commutative` `associate-+r-` `sub-neg` `associate-+r+` `flip3-+` `diff-log` `flip-+` `associate-/l/` `distribute-lft-out--`

Counts

4 → 106

Calls

4 calls:

17.0ms	(+ x (- (/ (/ t (* z 3.0)) y) (/ y (* z 3.0))))
4.0ms	(/ t (* z 3.0))
4.0ms	(/ y (* z 3.0))
6.0ms	(/ (/ t (* z 3.0)) y)

series32.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(+ x (- (/ (/ t (* z 3.0)) y) (/ y (* z 3.0))))
3.0ms	(/ t (* z 3.0))
3.0ms	(/ y (* z 3.0))
6.0ms	(/ (/ t (* z 3.0)) y)

simplify51.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4972	1190
1	4972	1190

prune140.0ms

Filtered

88 candidates to 118 candidates (-34.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	119	6	125

Merged error: 0b

Counts

125 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (- (/ (/ (/ t z) 3.0) y) (/ y (* z 3.0))))
0.2b	(/ (/ t z) 3.0)
0.2b	(/ y (* z 3.0))
4.5b	(/ (/ (/ t z) 3.0) y)

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

471×	`times-frac`
237×	`*-un-lft-identity`
232×	`add-sqr-sqrt` `add-cube-cbrt`
59×	`associate-/l*`
23×	`add-exp-log` `add-cbrt-cube` `div-inv`
11×	`cbrt-undiv` `div-exp`
9×	`add-log-exp`
7×	`associate-/r*`
4×	`pow1`
3×	`frac-2neg` `clear-num`
2×	`sum-log` `associate-/l/` `distribute-lft-out`
1×	`+-commutative` `associate-+r-` `sub-neg` `associate-+r+` `flip3-+` `diff-log` `prod-exp` `cbrt-unprod` `flip-+` `distribute-lft-out--`

Counts

4 → 299

Calls

4 calls:

56.0ms	(+ x (- (/ (/ (/ t z) 3.0) y) (/ y (* z 3.0))))
6.0ms	(/ (/ t z) 3.0)
4.0ms	(/ y (* z 3.0))
12.0ms	(/ (/ (/ t z) 3.0) y)

series37.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ x (- (/ (/ (/ t z) 3.0) y) (/ y (* z 3.0))))
3.0ms	(/ (/ t z) 3.0)
3.0ms	(/ y (* z 3.0))
11.0ms	(/ (/ (/ t z) 3.0) y)

simplify76.0ms

Algorithm

egg-herbie

Counts

311 → 311

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5018	4404

prune613.0ms

Filtered

263 candidates to 311 candidates (-18.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	311	0	311
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	311	6	317

Merged error: 0b

Counts

317 → 6

regimes245.0ms

Accuracy

0% (1.5b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	15
1	14	15

end0.0ms

analyze777.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
15.6%	84.2%	0.2%	8
15.6%	84.2%	0.2%	9
20.3%	79.5%	0.2%	10
25.3%	74.5%	0.2%	11
34.2%	65.6%	0.2%	12
37.4%	62%	0.6%	13
41.7%	57.7%	0.6%	14

sample763.0ms

Algorithm

intervals

Results

355.0ms	8000×	body	80	valid
134.0ms	3106×	body	80	invalid

Details

analyze781.0ms

sample33.0ms

simplify4.0ms

prune8.0ms

localize9.0ms

rewrite28.0ms

series33.0ms

simplify41.0ms

prune128.0ms

localize13.0ms

rewrite32.0ms

series29.0ms

simplify55.0ms

prune137.0ms

localize9.0ms

rewrite36.0ms

series32.0ms

simplify51.0ms

prune140.0ms

localize10.0ms

rewrite94.0ms

series37.0ms

simplify76.0ms

prune613.0ms

regimes245.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze777.0ms

sample763.0ms

Profiling